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http://dx.doi.org/10.4134/JKMS.2010.47.2.409

IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS  

Chae, Hi-Joon (Department of Mathematics Education, Hongik University)
Kim, Dae-San (Department of Mathematics, Sogang University)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.2, 2010 , pp. 409-424 More about this Journal
Abstract
We express Gauss sums for symplectic and orthogonal groups over finite fields as averages of exponential sums over certain maximal tori. Together with our previous results, we obtain some interesting identities involving various classical Gauss and Kloosterman sums.
Keywords
Gauss sums; exponential sums; symplectic groups; orthogonal groups;
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